5 credits
30.0 h + 30.0 h
Q2
Teacher(s)
Fisette Paul;
Language
English
Main themes
Definition and classification of multibody systems. Description of the various methods used by multibody softwares. Multibody formalisms for tree-like multobody systems (e.g. serial robot manipulators) and closed-loop systems (e.g. parallel manipulators, vehicles,...) : automatic computer generation of the dynamical eduations and numerical integration algorithms for differential-algebraic equations (DAE)
Aims
At the end of this learning unit, the student is able to : | |
| 1 | In consideration of the reference table AA of the program "Masters degree in Mechanical Engineering", this course contributes to the development, to the acquisition and to the evaluation of the following experiences of learning:
Give students a complementary education in the field of mechanics of systems of rigid bodies (geometry, kinematics, dynamics) bu studying the modelling aspects of complex articulted systems. |
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Content
- Definition and classification of multibody systems (NBS). Principal characteristics of the computer programs used in modelling and analyzing multibody systems.
- Multobody formalisms for tree-like systems (e.g. serial robots) or closed-loop mechanisms (e.g. vehicles) - definition of barycentric quantities - automatic generation of the dynamical equations using the Lagrange multipliers technique (use of the virtual power principle and Newton-Euler recursive algorithm).
- Coordinate partitioning method.
- Numerical analysis : equilibrium, modal analysis, time simulation, inverse dynamics.
- Particular applications : serial and parallel robots, road vehicles, railway vehicles, multibody systems with flexible elements.
Evaluation methods
Exam : oral examination. The exam consist of two parts: an examination on the theory (with lecture notes available) and a discussion about the project (theory, modelling and software implementaiton). support : lecture notes and copies of the slides used during the lectures.
Online resources
Bibliography
Référence de base :
- P. Fisette et J.C. Samin : Symbolic Modelling of Multibody Systems, à paraître chez Klawer Academic Press.
- Parviz E. Nikravesh, Computer-Aided Analysis of Mechanical Systems, Prentice Hall Inc., 1988.
- Haug, E.-J. : Computer Aided Kinematics and Dynamics of Mechanical Systems, Allyn and Bacon, Boston, 1989.
Faculty or entity
MECA
